λ
Integer Codex

8,725,624

23 × 17 × 83 × 773
Abundant Even Composite

For 8,725,624, the 32 positive divisors have a total of 17,554,320. Removing 8,725,624 leaves 8,828,696, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2^3 × 17 × 83 × 773
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,554,320
Proper Divisor Sum 8,828,696
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8725621 ← → #8725627

Radix Representation

Decimal 8725624
Binary 100001010010010001111000 (24 bits)
Octal 0o41222170
Hexadecimal 0x852478

Divisor Catalog (5 of 32)

1 2 4 8 17

Collatz Trajectory (150 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

8,725,624 4,362,812 2,181,406 1,090,703 3,272,110

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